Abstract
Let {fi | 1 ≤ i ≤ n} be a finite set of n mappings from a complete metric space (E, d) onto itself; {pi | 1 ≤ i ≤ n} a discrete probability distribution, that is, a set of nonnegative real numbers such that \( \sum\nolimits_{i = 1}^n {pi} = 1 \) ; and F : E : E the mapping defined by x : F(x) = fi(x) with probability pi. The dynamical system ((E,d),F) is called an iterated function system or IFS.
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© 2007 Springer Science+Business Media, LLC
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(2007). Iterated Function Systems. In: Essentials of Mathematica. Springer, New York, NY. https://doi.org/10.1007/978-0-387-49514-9_20
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DOI: https://doi.org/10.1007/978-0-387-49514-9_20
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-49513-2
Online ISBN: 978-0-387-49514-9
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